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Finding the Third Proportional to 38,421 and 88,911

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Solution

The third proportional to 38,421 and 88,911 is: 205,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 88,911 = 88,911 : x
  2. Step 2: Convert to fraction form
    38,421/88,911 = 88,911/x
  3. Step 3: Cross multiply
    38,421x = 88,911 × 88,911
  4. Step 4: Simplify right side
    38,421x = 7,905,165,921
  5. Step 5: Solve for x
    x = 7,905,165,921/38,421
  6. Step 6: Final answer
    x = 205,751.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.